Question

1. choose true or false. points that lie on the same line are collinear. true false 4. choose the best answer. identify the postulate illustrated by the statement: if the line $overleftrightarrow{lm}$ intersects line $overleftrightarrow{mo}$, points $l$, $m$, and $o$ are all on the same plane. postulate 1.2d: if two lines intersect, they intersect at exactly one point. postulate 1.2c: if two points lie on a plane, then the line that contains those two points also lies on the plane. postulate 1.2a: through any two points there is exactly one line. postulate 1.2b: through any three non - collinear points there is exactly one plane.

Explanation:

1. By the definition of collinear points, points on the same line are collinear.
2. Since two intersecting lines (line $\overleftrightarrow{LM}$ and line $\overleftrightarrow{MO}$) determine a plane and the points $L$, $M$, and $O$ lie on these intersecting lines, the postulate that through any three non - collinear points there is exactly one plane is illustrated.

Answer:

1. True
2. Postulate 1.2B: Through any three noncollinear points there is exactly one plane.